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Finding the Fourth Proportional to 346,488, 478,153.44 and 187,512

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Solution

The fourth proportional to 346,488, 478,153.44 and 187,512 is: 258,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,488 : 478,153.44 = 187,512 : x
  2. Step 2: Convert to fraction form
    346,488/478,153.44 = 187,512/x
  3. Step 3: Cross multiply
    346,488x = 478,153.44 × 187,512
  4. Step 4: Simplify right side
    346,488x = 89,659,507,841.28
  5. Step 5: Solve for x
    x = 89,659,507,841.28/346,488
  6. Step 6: Final answer
    x = 258,766.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.